查询词典 R.R.

Soc _RR is a injective left R-module.(4) Soc _RR is a left self-injective ring.|Theorem 4.2.9 Let R be a commutative notherian ring, then the following are equivalent:(1) R is a FS-ring.(2) R is a PS-ring.(3) Every minimal ideal of R is injective.(4) Every minimal ideal of R is p-injective.

定理4.2.9若R是交换的Noethe(来源：Aae0eBe0C论文网www.abclunwen.com)r环，则以下条件等价：R是FS-环；R是PS-环；R的每个极小理想都是内射的；R的每个极小理想都是p-内射的；R是IS-环；R的每个极小理想都是投射的；R的每个极小理想都是平坦的。

If R satisfies =0 for any elements x ,y in R then ⑴when k =1, R is commutative;⑵when R has the unity, R is commutative;⑶when R has at least one right regular element and f 2 (t 1,t2) has no terms with degree1 such that Fn= F then R iscommutative when R has at least one right regular element. Here we would like to point out that the above results generalized the results of Fu changlin ,moreover generalized some results of other references . This results enriched the commutative conditions of any ring.

若任取R 中元x， y均有=0 那么⑴k =1时R 为交换环；⑵R 有单位元时R 为交换环；⑶f_2 (t_1，t_2)中t_2的次数不小于k -1且R 中至少有一个右正则元时R 为交换环。

The first chapter, main instead " duo-ring " condition of " every maximal left ideal is GW-ideal " condition,study strongly regularities of GP-V-ring on this condition.lt is shown that (1) R is strongly regular iff R is left GP-V-ring whose maximal left ideals are GW-ideal.(2)R is strongly regular iff R is left GP-V-ring whose maximal right ideals are GW-ideal. The second chapter, generalize some results of GP-V-ring to GP-V-ring, discuss regularity of GP-V-ring.It is shown that (1) R is left self-injective regular with non-zero socle iff R is left GP-V -ring with Soc = Soc and R contains an injective maximal left ideal.(2)R is regular ring and every maximal essential left ideal is ideal iff R is left GP-injective left GP-V -ring and every maximal essential left ideal is ideal.

第一章主要将"duo-环"条件替换成"每一极大左理想是GW-理想"条件，研究在此条件下，GP-V-环的强正则性，证明了：(1)R是强正则环当且仅当R是左GP-V-环且R的每一极大左理想是广义弱理想；(2)R是强正则环当且仅当R是左GP-V-环且R的每一极大右理想是广义弱理想，第二章，主要将GP-V-环上一些结果推广到GP-V′-环上，讨论GP-V′-环的正则性，证明了：(1)R是左自内射正则环且Soc≠0当且仅当R是包含内射极大左理想的GP-V′-环，且Soc=Soc；(2)R是正则环且每一极大本质左理想是理想当且仅当R是左GP-内射的左GP-V′-环且每一极大本质左理想是理想。

This invention provides compounds of Formula; wherein: R is a moiety selected from the group: and n is an integer of 1 or 2; R is selected from hydrogen, amino,-NRR, alkyl of 1 to 12 carbon atoms optionally substituted, aryl of 6, 10 or 14 carbon atoms optionally substituted, alkenyl of 2 to 12 carbon atoms optionally substituted, alkynyl of 2 to 12 carbon atoms optionally substituted, halogen, and a 5 to 10 membered heteroaryl ring optionally substituted, having 1 to 4 heteroatoms independently selected from N, O and S; R is selected from hydrogen, alkyl of 1 to 12 carbon atoms optionally substituted, aryl of 6, 10 or 14 carbon atoms optionally substituted, alkenyl of 2 to 12 carbon atoms optionally substituted, vinyl, alkynyl of 2 to 12 carbon atoms optionally substituted and halogen; R is H, alkyl of 1 to 12 carbon atoms optionally substituted, cycloalkyl of 3 to 8 carbon atoms, bicycloalkyl of 5 to 10 carbon atoms or aralkyl optionally substituted; R is OH or -OH; R and R are each independently H or alkyl of 1 to 12 carbon atoms or when optionally taken together with the nitrogen atom to which each is attached form a 3 to 8 membered saturated heterocyclyl ring; R is alkyl of 1 to 12 carbon atoms optionally substituted; or a tautomer or pharmaceutically acceptable salts thereof.

本发明提供式的化合物；其中：R 1 为选自基团和的部分；n为整数1或2；R 2 选自氢、氨基、-NR 6 R 7 、具有1到12个碳原子的视情况经取代的烷基、具有6个、10个或14个碳原子的视情况经取代的芳基、具有2到12个碳原子的视情况经取代的烯基、具有2到12个碳原子的视情况经取代的炔基、卤素和具有1到4个独立地选自N、O和S的杂原子的视情况经取代的5元到10元杂芳基环；R 3 选自氢、具有1到12个碳原子的视情况经取代的烷基、具有6个、10个或14个碳原子的视情况经取代的芳基、具有2到12个碳原子的视情况经取代的烯基、乙烯基、具有2到12个碳原子的视情况经取代的炔基和卤素；R 4 为H、具有1到12个碳原子的视情况经取代的烷基、具有3到8个碳原子的环烷基、具有5到10个碳原子的双环烷基或视情况经取代的芳烷基；R 5 为OH或-OH 8 ；R 6 和R 7 各自独立地为H或具有1到12个碳原子的烷基，或当视情况与其所连接的氮原子连接在一起时形成3元到8元饱和杂环基环；R 8 为具有1到12个碳原子的视情况经取代的烷基；或其互变异构体或医药学上可接受的盐。

得 (1 2r ) A 1 + A2 = 0 由条件得 4π(1 )A1 + 2A2 = P P (1 2) A1 =, A2 = P 2π 2π由及二式的联立求解,得 42 Substitute the obtained A1 and A2 into the forgoing representations, we get (1 +)P rz (1 2)r ur = R2 R + z 2πER (1 +)P z2 ω= 2(1 )+ 2 2πER R P (1 2)R 3r 2 z σr = 3 2 2πR R + z R (1 2)P z R σθ= 2 R R + z 2πR 3Pz3 3Pr z 2 σ z = 5 ,τ zr =τ rz = 2πR 2πR5 43 将得出的A1及A2回代,得(1 +)P rz (1 2)r ur = R2 R + z 2πER (1 +)P z2 ω= 2(1 )+ 2 2πER R P (1 2)R 3r 2 z σr = 3 2 2πR R + z R (1 2)P z R σθ= 2 R R + z 2πR 3Pz3 3Pr z 2 σ z = 5 ,τ zr =τ rz = 2πR 2πR5 44 §8-4 Spherically Symmetric Problem For Space Among spatial problems, if the elasticity body's geometric shape,restraint condition and any external factors are symmetrical in a certain point (any plane which passes this point is all symmetrical one),then all stresses,strains and displacements are symmetrical in this point.

§8-4 空间球对称问题在空间问题中，如果弹性体的几何形状，约束情况以及所受的外来因素，都对称于某一点(通过这一点的任意平面都是对称面)，则所有的应力，形变和位移也对称于这一点。这种问题称为空间球对称问题。

Short Story :"The Way of Cross and Dragon" by George R.

短篇：《十字与龙的通道》乔治。R.R。

The present invention relates to compounds of formula wherein R is hydrogen, lower alkyl, lower alkoxy, halogen or lower alkyl substituted by halogen; R is hydrogen or halogen; or R and R are together with the carbon atom to which they are attached -CH=CH-CH=CH-; R is hydrogen, lower alkyl, phenyl optionally substituted by halogen, or is hetaryl, optionally substituted by lower alkyl; R is hydrogen, lower alkyl, phenyl, benzyl, lower alkenyl, lower alkoxy, phenyloxy, benzyloxy, S-lower alkyl, halogen, CN, lower alkyl substituted by halogen or O-lower alkyl substituted by halogen; R is hydrogen or lower alkyl, aryl is phenyl or naphthyl; n is 1, 2 or 3; m is 1 or 2; and pharmaceutically acceptable acid addition salts and tautomeric forms thereof.

本发明涉及式化合物及其可药用的酸加成盐和互变异构形式，其中R 1 是氢、低级烷基、低级烷氧基、卤素或被卤素取代的低级烷基；R是氢或卤素；或R 1 和R与它们连接的碳原子一起是-CH＝CH-CH＝CH-；R 2 是氢、低级烷基、任选被卤素取代的苯基或者是任选被低级烷基取代的杂芳基；R 3 是氢、低级烷基、苯基、苄基、低级链烯基、低级烷氧基、苯氧基、苄氧基、S-低级烷基、卤素、CN、被卤素取代的低级烷基或被卤素取代的O-低级烷基；R 4 是氢或低级烷基，芳基是苯基或萘基；n是1、2或3；m是1或2。

If R andits ideal I satisfied the condition 〓 satisfied〓,there exists 〓 such that 〓.then K〓is generated by elements of type Dand C.

证明了当环R及其理想I满足条件〓（即对a，b∈I，且aR+(1+b)R=R，一定存在t∈U使得a+(1+b)t∈U时的情况，〓可由D和C生成。

Wherein X is an oxygen atom or a sulfur atom; C*, C** and C*** are asymmetric carbons; R 1 , R 2 , R 4 , R 5 , R 8 , R 9 and R 10 are each a lower alkyl group optionally having substituent and the like, or R 4 and R 5 and the like in combination optionally form a homocyclic ring optionally having substituent and the like; R 3 is an aryl group optionally having substituent and the like; R 6 and R 7 are each a hydrogen atom and the like; Nu is -CR 16 (COR 17 )(COR 18 ) wherein R 16 , R 17 and R 18 are each a lower alkyl group optionally having substituent and the like, and the like; and EWG is an electron withdrawing group.

通式中，X代表氧或硫；C *、C **和C ***分别表示不对称碳；R 1 、R 2 、R 4 、R 5 、R 8 、R 9 和R 10 分别代表任选取代的低级烷基等，条件是例如R 4 和R 5 可以相互结合形成任选取代的同素环等；R 3 代表任选取代的芳基等；R 6 和R 7 分别代表氢原子等；Nu表示-CR 16 (COR 17 )(COR 18 )(其中R 16 、R 17 和R 18 分别代表任选取代的低级烷基等)等；并且EWG表示吸电子基团。

"Urbane and pliant ... he was at ease even in the drawing rooms of Paris" R.R.

&由于他彬彬有礼且温顺谦和，所以即使是在巴黎上流社会的客厅中他也能表现得自在安然& P.R。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。